%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW436-1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:32:23 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of clauses : 29 ( 19 unt; 10 nHn; 24 RR)
% Number of literals : 42 ( 28 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 27 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_9,hypothesis,
heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_9) ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
cnf(wellformedness_5,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_4,hypothesis,
x4 != x6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
cnf(premise_5,hypothesis,
x4 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
cnf(c_0_6,hypothesis,
heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
premise_9 ).
cnf(c_0_7,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_8,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
cnf(c_0_9,hypothesis,
heap(sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x14,x8),emp))))))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_10,hypothesis,
( x13 = x4
| x9 = x4 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_12,hypothesis,
( x9 = x4
| heap(sep(lseg(x4,x2),sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x14,x8),emp)))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_13,hypothesis,
( x9 = x4
| x2 = x4 ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_14,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_15,hypothesis,
( x2 = x4
| heap(sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x2),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x14,x8),emp)))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_13]),c_0_11]),c_0_14]),c_0_7]),c_0_7]),c_0_14]),c_0_7]),c_0_7]),c_0_14]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_16,hypothesis,
x4 != x6,
premise_4 ).
cnf(c_0_17,hypothesis,
( x2 = x4
| x13 = x4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_15]),c_0_16]) ).
cnf(c_0_18,hypothesis,
( x2 = x4
| heap(sep(lseg(x4,x6),sep(lseg(x4,x2),sep(lseg(x4,x7),sep(lseg(x6,x2),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x14,x8),emp))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_17]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_11]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_19,hypothesis,
x2 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_18]),c_0_16]) ).
cnf(c_0_20,hypothesis,
( x9 = x4
| heap(sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x6,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x14,x8),emp))))))))))))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_14]),c_0_7]),c_0_7]),c_0_11]) ).
cnf(c_0_21,hypothesis,
heap(sep(lseg(x4,x9),sep(lseg(x4,x9),sep(lseg(x4,x15),sep(lseg(x4,x13),sep(lseg(x6,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,x8),emp))))))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_14]),c_0_7]),c_0_7]),c_0_14]),c_0_7]),c_0_7]) ).
cnf(c_0_22,hypothesis,
x9 = x4,
inference(spm,[status(thm)],[c_0_8,c_0_20]) ).
cnf(c_0_23,hypothesis,
heap(sep(lseg(x4,x6),sep(lseg(x4,x15),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x8,x14),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,x8),emp))))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_14]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_11]),c_0_11]) ).
cnf(c_0_24,hypothesis,
x15 = x4,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_23]),c_0_16]) ).
cnf(c_0_25,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X3),sep(X4,sep(lseg(X1,X2),X5)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_26,hypothesis,
heap(sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x6,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x4),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x3,x10),sep(lseg(x13,x4),sep(lseg(x14,x8),emp))))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]),c_0_24]),c_0_11]),c_0_7]),c_0_11]) ).
cnf(c_0_27,hypothesis,
x4 != x7,
premise_5 ).
cnf(c_0_28,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW436-1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n015.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 06:49:02 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------